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Finding the Fourth Proportional to 3,422.85, 5,134.26 and 825.79

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Solution

The fourth proportional to 3,422.85, 5,134.26 and 825.79 is: 1,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.85 : 5,134.26 = 825.79 : x
  2. Step 2: Convert to fraction form
    3,422.85/5,134.26 = 825.79/x
  3. Step 3: Cross multiply
    3,422.85x = 5,134.26 × 825.79
  4. Step 4: Simplify right side
    3,422.85x = 4,239,807.73
  5. Step 5: Solve for x
    x = 4,239,807.73/3,422.85
  6. Step 6: Final answer
    x = 1,238.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.